It is proved that the Stokes problem for nonhomogeneous viscous fluids in an exterior Lipschitz two-dimensional domain has a solution if and only if the data satisfy a suitable compatibility condition. Moreover, it is showed that it is unique in large uniqueness classes.

中文翻译：

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非均匀流体的平面外边界值问题

事实证明，当且仅当数据满足适当的相容性条件时，外部Lipschitz二维域中非均匀粘性流体的Stokes问题才具有解。而且，表明它在大型唯一性类中是唯一的。